The invention discloses a pixel circuit, a pixel and an active matrix organic light-emitting diode (AMOLED) display device comprising the pixel as well as a driving method of the AMOLED display device. The pixel circuit (112) comprises a power supply circuit (1121), a basic circuit (1122) and a compensating circuit (1123), all of which are orderly connected together; the power supply circuit (1121) is connected with a first power source ELVDD and provides power for the basic circuit (1122); the compensating circuit (1123) is connected with a second power source ELVSS1 and a third power source ELVSS2, respectively, and used for compensating the difference values of the voltage and the current of the organic light-emitting diode (OLED). The pixel comprises the OLED and the pixel circuit. The AMOLED display device comprises the pixel circuit. According to the pixel circuit, the difference value of the threshold voltage and the power voltage of the transistor are compensated so that the response characteristic of the AMOLED can be improved and the AMOLED can be enabled to generate the light of the same brightness; as a result, the requirements on image uniformity and consistency of the AMOLED display device can be met.